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<FONT color="green">001</FONT>    package mathtools;<a name="line.1"></a>
<FONT color="green">002</FONT>    <a name="line.2"></a>
<FONT color="green">003</FONT>    import mathtools.Complex;<a name="line.3"></a>
<FONT color="green">004</FONT>    <a name="line.4"></a>
<FONT color="green">005</FONT>    /**<a name="line.5"></a>
<FONT color="green">006</FONT>     * Represents a complex number with real and imaginary components.<a name="line.6"></a>
<FONT color="green">007</FONT>     * Includes classes for all needed complex number algebra.<a name="line.7"></a>
<FONT color="green">008</FONT>     * @author Alex Bush, Richard Inskip, Jan Zaucha<a name="line.8"></a>
<FONT color="green">009</FONT>     */<a name="line.9"></a>
<FONT color="green">010</FONT>    public class Complex {<a name="line.10"></a>
<FONT color="green">011</FONT>    <a name="line.11"></a>
<FONT color="green">012</FONT>            /** Real component of the complex number */<a name="line.12"></a>
<FONT color="green">013</FONT>            protected double x;<a name="line.13"></a>
<FONT color="green">014</FONT>            /** Imaginary component of the complex number */<a name="line.14"></a>
<FONT color="green">015</FONT>            protected double y;<a name="line.15"></a>
<FONT color="green">016</FONT>    <a name="line.16"></a>
<FONT color="green">017</FONT>            /**<a name="line.17"></a>
<FONT color="green">018</FONT>             * Create a complex number with real and imaginary components <a name="line.18"></a>
<FONT color="green">019</FONT>             * @param x real coefficient<a name="line.19"></a>
<FONT color="green">020</FONT>             * @param y imaginary coefficient<a name="line.20"></a>
<FONT color="green">021</FONT>             */<a name="line.21"></a>
<FONT color="green">022</FONT>            public Complex (double x, double y) {<a name="line.22"></a>
<FONT color="green">023</FONT>                    this.x = x;<a name="line.23"></a>
<FONT color="green">024</FONT>                    this.y = y;<a name="line.24"></a>
<FONT color="green">025</FONT>            }<a name="line.25"></a>
<FONT color="green">026</FONT>    <a name="line.26"></a>
<FONT color="green">027</FONT>            /**<a name="line.27"></a>
<FONT color="green">028</FONT>             * Create a complex purely real number<a name="line.28"></a>
<FONT color="green">029</FONT>             * imaginary part = 0<a name="line.29"></a>
<FONT color="green">030</FONT>             * @param x real coefficient<a name="line.30"></a>
<FONT color="green">031</FONT>             */<a name="line.31"></a>
<FONT color="green">032</FONT>            public Complex (double x) {<a name="line.32"></a>
<FONT color="green">033</FONT>                    this.x = x;<a name="line.33"></a>
<FONT color="green">034</FONT>                    this.y = 0.0;<a name="line.34"></a>
<FONT color="green">035</FONT>            }<a name="line.35"></a>
<FONT color="green">036</FONT>    <a name="line.36"></a>
<FONT color="green">037</FONT>            /** Set real component<a name="line.37"></a>
<FONT color="green">038</FONT>             * <a name="line.38"></a>
<FONT color="green">039</FONT>             * @param x value to set real component<a name="line.39"></a>
<FONT color="green">040</FONT>             */<a name="line.40"></a>
<FONT color="green">041</FONT>            public void setReal(double x) {<a name="line.41"></a>
<FONT color="green">042</FONT>                    this.x = x;<a name="line.42"></a>
<FONT color="green">043</FONT>            }<a name="line.43"></a>
<FONT color="green">044</FONT>    <a name="line.44"></a>
<FONT color="green">045</FONT>    <a name="line.45"></a>
<FONT color="green">046</FONT>            /** Set imaginary component of the complex number<a name="line.46"></a>
<FONT color="green">047</FONT>             * <a name="line.47"></a>
<FONT color="green">048</FONT>             * @param y value to set imaginary component<a name="line.48"></a>
<FONT color="green">049</FONT>             */<a name="line.49"></a>
<FONT color="green">050</FONT>            public void setImaginary(double y) {<a name="line.50"></a>
<FONT color="green">051</FONT>                    this.y = y;<a name="line.51"></a>
<FONT color="green">052</FONT>            }<a name="line.52"></a>
<FONT color="green">053</FONT>    <a name="line.53"></a>
<FONT color="green">054</FONT>            /**<a name="line.54"></a>
<FONT color="green">055</FONT>             * Returns real component of the complex number<a name="line.55"></a>
<FONT color="green">056</FONT>             * @return Real component<a name="line.56"></a>
<FONT color="green">057</FONT>             */<a name="line.57"></a>
<FONT color="green">058</FONT>            public Double getReal (){<a name="line.58"></a>
<FONT color="green">059</FONT>                    return this.x;<a name="line.59"></a>
<FONT color="green">060</FONT>            }<a name="line.60"></a>
<FONT color="green">061</FONT>    <a name="line.61"></a>
<FONT color="green">062</FONT>            /**<a name="line.62"></a>
<FONT color="green">063</FONT>             * Returns imaginary component of the complex number<a name="line.63"></a>
<FONT color="green">064</FONT>             * @return Imaginary component<a name="line.64"></a>
<FONT color="green">065</FONT>             */<a name="line.65"></a>
<FONT color="green">066</FONT>            public Double getImaginary (){<a name="line.66"></a>
<FONT color="green">067</FONT>                    return this.y;<a name="line.67"></a>
<FONT color="green">068</FONT>            }<a name="line.68"></a>
<FONT color="green">069</FONT>    <a name="line.69"></a>
<FONT color="green">070</FONT>            /**<a name="line.70"></a>
<FONT color="green">071</FONT>             * Return magnitude of the complex number &lt;code&gt;sqrt(x^2 + y^2)&lt;/code&gt;<a name="line.71"></a>
<FONT color="green">072</FONT>             * @return Magnitude of the complex number<a name="line.72"></a>
<FONT color="green">073</FONT>             */<a name="line.73"></a>
<FONT color="green">074</FONT>            public Double getMagnitude (){<a name="line.74"></a>
<FONT color="green">075</FONT>                    double mag = Math.sqrt(this.x * this.x + this.y * this.y);<a name="line.75"></a>
<FONT color="green">076</FONT>                    return mag;<a name="line.76"></a>
<FONT color="green">077</FONT>            }<a name="line.77"></a>
<FONT color="green">078</FONT>    <a name="line.78"></a>
<FONT color="green">079</FONT>            /**<a name="line.79"></a>
<FONT color="green">080</FONT>             * Return the square magnitude of the complex number &lt;code&gt;x^2+y^2&lt;/code&gt;<a name="line.80"></a>
<FONT color="green">081</FONT>             * @return Square Magnitude of the complex number<a name="line.81"></a>
<FONT color="green">082</FONT>             */<a name="line.82"></a>
<FONT color="green">083</FONT>            public Double getMagnitudeSquared (){<a name="line.83"></a>
<FONT color="green">084</FONT>                    double mag = (this.x * this.x + this.y * this.y);<a name="line.84"></a>
<FONT color="green">085</FONT>                    return mag;<a name="line.85"></a>
<FONT color="green">086</FONT>            }<a name="line.86"></a>
<FONT color="green">087</FONT>    <a name="line.87"></a>
<FONT color="green">088</FONT>            /**<a name="line.88"></a>
<FONT color="green">089</FONT>             * Return the complex number as a string<a name="line.89"></a>
<FONT color="green">090</FONT>             * @return Complex number<a name="line.90"></a>
<FONT color="green">091</FONT>             */<a name="line.91"></a>
<FONT color="green">092</FONT>            public String toString (){<a name="line.92"></a>
<FONT color="green">093</FONT>                    if ( y==0 ){<a name="line.93"></a>
<FONT color="green">094</FONT>                            return this.x+"";<a name="line.94"></a>
<FONT color="green">095</FONT>                    }<a name="line.95"></a>
<FONT color="green">096</FONT>                    else if ( x==0 ){<a name="line.96"></a>
<FONT color="green">097</FONT>                            return this.y+"i";<a name="line.97"></a>
<FONT color="green">098</FONT>                    }<a name="line.98"></a>
<FONT color="green">099</FONT>                    else{<a name="line.99"></a>
<FONT color="green">100</FONT>                            return "(" + this.x + " + " + this.y + "i" + ")";<a name="line.100"></a>
<FONT color="green">101</FONT>                    }<a name="line.101"></a>
<FONT color="green">102</FONT>            }<a name="line.102"></a>
<FONT color="green">103</FONT>    <a name="line.103"></a>
<FONT color="green">104</FONT>            /**<a name="line.104"></a>
<FONT color="green">105</FONT>             * Static method to add two complex numbers together<a name="line.105"></a>
<FONT color="green">106</FONT>             * @param a First Complex number<a name="line.106"></a>
<FONT color="green">107</FONT>             * @param b Second Complex number<a name="line.107"></a>
<FONT color="green">108</FONT>             * @return Complex number a + Complex Number b<a name="line.108"></a>
<FONT color="green">109</FONT>             */<a name="line.109"></a>
<FONT color="green">110</FONT>            public static Complex addComplex (Complex a, Complex b) {<a name="line.110"></a>
<FONT color="green">111</FONT>                    Complex c = new Complex(a.getReal() + b.getReal(), a.getImaginary() + b.getImaginary());<a name="line.111"></a>
<FONT color="green">112</FONT>                    return c;<a name="line.112"></a>
<FONT color="green">113</FONT>            }<a name="line.113"></a>
<FONT color="green">114</FONT>    <a name="line.114"></a>
<FONT color="green">115</FONT>            /**<a name="line.115"></a>
<FONT color="green">116</FONT>             * Static method to multiply two complex numbers togther<a name="line.116"></a>
<FONT color="green">117</FONT>             * @param a First Complex Number<a name="line.117"></a>
<FONT color="green">118</FONT>             * @param b Second Complex Number<a name="line.118"></a>
<FONT color="green">119</FONT>             * @return Complex number a x Complex Number b<a name="line.119"></a>
<FONT color="green">120</FONT>             */<a name="line.120"></a>
<FONT color="green">121</FONT>            public static Complex multiplyComplex (Complex a, Complex b) {<a name="line.121"></a>
<FONT color="green">122</FONT>                    Complex c = new Complex (a.getReal()*b.getReal() - a.getImaginary() * b.getImaginary(), a.getReal() * b.getImaginary() + a.getImaginary() * b.getReal());<a name="line.122"></a>
<FONT color="green">123</FONT>                    return c;<a name="line.123"></a>
<FONT color="green">124</FONT>            }<a name="line.124"></a>
<FONT color="green">125</FONT>    <a name="line.125"></a>
<FONT color="green">126</FONT>            /**<a name="line.126"></a>
<FONT color="green">127</FONT>             * Static method to multiply a complex number by a real number<a name="line.127"></a>
<FONT color="green">128</FONT>             * @param a A Real number<a name="line.128"></a>
<FONT color="green">129</FONT>             * @param b A complex number<a name="line.129"></a>
<FONT color="green">130</FONT>             * @return Complex number C = a * ( Complex b )<a name="line.130"></a>
<FONT color="green">131</FONT>             */<a name="line.131"></a>
<FONT color="green">132</FONT>            public static Complex multiplyComplex (double a, Complex b ) {<a name="line.132"></a>
<FONT color="green">133</FONT>                    Complex c = new Complex (a * b.getReal(), a * b.getImaginary());<a name="line.133"></a>
<FONT color="green">134</FONT>                    return c;<a name="line.134"></a>
<FONT color="green">135</FONT>            }<a name="line.135"></a>
<FONT color="green">136</FONT>    <a name="line.136"></a>
<FONT color="green">137</FONT>            /**<a name="line.137"></a>
<FONT color="green">138</FONT>             * Method to multiply the complex number by -1.0; real -&gt; -real , im -&gt; -im.<a name="line.138"></a>
<FONT color="green">139</FONT>             */<a name="line.139"></a>
<FONT color="green">140</FONT>            public void negate (){<a name="line.140"></a>
<FONT color="green">141</FONT>                    x = -x;<a name="line.141"></a>
<FONT color="green">142</FONT>                    y = -y;<a name="line.142"></a>
<FONT color="green">143</FONT>            }<a name="line.143"></a>
<FONT color="green">144</FONT>    <a name="line.144"></a>
<FONT color="green">145</FONT>            /**<a name="line.145"></a>
<FONT color="green">146</FONT>             * Return the complex conjugate of an imaginary number<a name="line.146"></a>
<FONT color="green">147</FONT>             * @return Complex conjugate of complex number<a name="line.147"></a>
<FONT color="green">148</FONT>             */<a name="line.148"></a>
<FONT color="green">149</FONT>            public Complex conjugate(){<a name="line.149"></a>
<FONT color="green">150</FONT>                    return new Complex(x,(-1)*y);<a name="line.150"></a>
<FONT color="green">151</FONT>            }<a name="line.151"></a>
<FONT color="green">152</FONT>    <a name="line.152"></a>
<FONT color="green">153</FONT>    }<a name="line.153"></a>




























































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